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Finding the Fourth Proportional to 1,352.20, 2,028.70 and 427.72

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Solution

The fourth proportional to 1,352.20, 2,028.70 and 427.72 is: 641.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,352.20 : 2,028.70 = 427.72 : x
  2. Step 2: Convert to fraction form
    1,352.20/2,028.70 = 427.72/x
  3. Step 3: Cross multiply
    1,352.20x = 2,028.70 × 427.72
  4. Step 4: Simplify right side
    1,352.20x = 867,715.56
  5. Step 5: Solve for x
    x = 867,715.56/1,352.20
  6. Step 6: Final answer
    x = 641.71

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.